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Multi-phase flows are part of our natural environment such as tornadoes, typhoons, air and water pollution and volcanic activities as well as part of industrial technology such as power plants, combustion engines, propulsion systems, or chemical and biological industry. The industrial use of multi-phase systems requires analytical and numerical strategies for predicting their behavior. In its third extended edition this monograph contains theory, methods and practical experience for describing complex transient multi-phase processes in arbitrary geometrical configurations, providing a systematic presentation of the theory and practice of numerical multi-phase fluid dynamics. In the present first volume the fundamentals of multiphase dynamics are provided. This third edition includes various updates, extensions and improvements in all book chapters.

Mass conservation.- Momentums conservation.- Derivatives for the equations of state.- On the variety of notations of the energy conservation for single-phase flow.- First and second laws of the thermodynamics.- Some simple applications of the mass and energy conservation.- Exergy of multi-phase multi-component systems.- One-dimensional three-fluid flows.- Detonation waves caused by chemical reactions or by melt-coolant interactions.- Conservation equations in general curvilinear coordinate systems.- Type of the system of PDEs.- Numerical solution methods for multiphase flow problems.- Numerical methods for multi-phase flow in curvilinear coordinate systems.

In the press

From the reviews of the second edition:

"This voluminous bipartite monograph gives a systematic presentation of theory and practice of this important field of fluid dynamics. … it is very important to have a comprehensive and systematic overview including useful numerical methods. The two volumes have the character of a handbook and accomplish this function excellently. … These two volumes are very useful for scientists and practicing engineers in the fields of technical thermodynamics, chemical engineering, fluid mechanics, and for mathematicians … . This bipartite monograph is highly recommended." (Bernd Platzer, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 86 (12), 2006)

"This work presents a careful and detailed introduction into the methodology of multi-phase flows and numerical solution methods for multi-phase flow analysis. … will be of interest and useful to a wide range of specialists working in multi-phase flows, physicists, chemical engineers, biologists, and also to researchers interested by the mathematical theory of multi-phase flows and connected topics as well as to graduate and PhD students. It can also be recommended as a text for seminars and courses, as well as for independent study." (Ioan Pop, Zentralblatt MATH, Vol. 1111 (8), 2007)